Let a, b, and x be positive real numbers such that neither a nor b equals 1 (remember x must be greater than 0). Then can be converted to the base b by the formula
Problem 1: Find .
Solution 1: Convert to base 10 logarithms.
Check: Let's check your answer. If , then the answer is correct.
is not exact
but close enough for our check. Remember why it is not exact in the check.
the -11.18900388 was rounded; therefore, the answer won't be exact.
Solution 2: Convert to base e logarithms.
If you would like to see another problem, click on Next Problem.
Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.
Author: Nancy Marcus